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Finding the Third Proportional to 24,965 and 54,619

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Solution

The third proportional to 24,965 and 54,619 is: 119,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,965 : 54,619 = 54,619 : x
  2. Step 2: Convert to fraction form
    24,965/54,619 = 54,619/x
  3. Step 3: Cross multiply
    24,965x = 54,619 × 54,619
  4. Step 4: Simplify right side
    24,965x = 2,983,235,161
  5. Step 5: Solve for x
    x = 2,983,235,161/24,965
  6. Step 6: Final answer
    x = 119,496.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.